SOLUTION: A cubic has a y intercept of -6 and a point (2,10). Find the equation of the cubic.

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Question 1123208: A cubic has a y intercept of -6 and a point (2,10). Find the equation of the cubic.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A cubic has a y intercept of -6 and a point (2,10).
Find the equation of the cubic.
:
x^3 + ax^2 + bx - 6 = y
x=2; y=10, assume the coefficient of x^3 = 1
8 + 4a + 2b - 6 = 10
4a + 2b = 10 + 6 - 8
4a + 2b = 8
2a + b = 4
assuming integers values
a = 1; b=2
the equation
y = x^3 + x^2 + 2x - 6
:
Check
+graph%28+300%2C+200%2C+-4%2C+4%2C+-8%2C+12%2C+x%5E3%2Bx%5E2%2B2x-6%2C+10%29+